Q. 11 - Calculus

Question

For the figure, write the distances A, B, and C in terms of $f$ or $f^{-1}$, the point ${x_k}^{*}$ , and $K$.

Step-by-Step Solution

Answer

$A=K-f\left({x_k}^{*}\right)$ , $B={x_k}^{*}$ and $C=K+f\left({x_k}^{*}\right)$.

Step 1: Given Information :

In the figure, the function $y=f\left(x\right)$ and the points ${x_k}^{*}$ and $K$ are given.

Step 2: To find the distances A , B and C :

Using the given information, we get $A=K-f\left({x_k}^{*}\right)$ ,  $B={x_k}^{*}$ and  $C=K+f\left({x_k}^{*}\right)$ .